The thing is, you can pretty well guarantee that any system they'd introduce for appointing a President would land the country with some superannuated politico, like the ones mentioned.

Given it's supposed to be a purely ornamental job, I've sometimes thought it'd be an idea to appoint a horse. That way we could still have the Trooping of the Colour. Maybe a Royal could be kept on to look after it, and ride it on such occasions. The Opening of Parliament could be fun. They'd have to modify the arrangements for the Queen's Speech, I suppose.

Short of that, I'd as soon stick with the present arrangements.